Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2,    1 ≤ y ≤ 2

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

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Q: 1. Engineers have observed that when transferring a message I (an input signal) through a physical m...

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Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10  

Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

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Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

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Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: Find an upper bound on the error that can result if cos(æ) is approximated by 1– (x/2!) + (x*/4!) ov...

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Q: dy and then dx Use implicit differentiation to find 2 dx 4 5 X +y =99 dy (Type an exact answer.) %D ...

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Q: 3) f(x) — -3x* -18х +10, (a) Find f '(x) (Useformula) (b)Find the slope of the tangent line at x =

A: We can find both the answer as below.

Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the graph...

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the grap...

Q: Given: f (x) = x + vx ; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an...

A: NOTE: Refresh your page if you can't see any equations. . take x=1 the point on the graph is 

Q: x'cos x dx cos x Jo

A: LetI=∫0πx3cosxdxUse integral by partsI=x3∫cos(x)dx-∫∫cosxdx.ddx(x3)dxI=x3sinx-∫ 3x2sinxdx0π         ...

Q: 12x2 dx = x³ + 2

A: Where we have to solve the given integral

Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: At9:00AM,athermometerreading25°Cistakenoutsidewheretheairtemperatureis5°C.At 9:03AM, the temperature...

A: Given: At 9:00 AM, thermometer is taken outside where Air temperature = 5°C and Thermometer reading ...

Q: X = 1 mod 3 x = 7 mod 4 X = 2 mod 19

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Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: Déterminer une valeur approchée de l'aire de la surface bleue ci-dessous composée d'un triangle rect...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t – 21t + 36t ...

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Q: f(x) = -x + 1lx? – 28 %3D

A: We have the function                                   f(x)=-x4+11x2-28 then  Solution (a): Use the ...

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: Find the limit of the following functions x 5 +3 x3−2 as x→2 X3 +4/X-4  as x→4

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Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

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Q: Find the lines that are tangent and normal to the curve at the given point. x²y? =9, (1,3) The line ...

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Q: Gra ph the following fuctions and Show domains and ranges oF them ノ- ソ= 4Cos2x 文 MiS= R-て 3. %3D 3- ...

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Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: Find a root of f (x) = In(x – 1) + cos(x – 1) using the Newton- Raphson method with an error less th...

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Q: HELP    ME (SOL 3,4)

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Q: A magazine publisher reports that their revenue function and cost functions (in thousands of dollars...

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Q: Find the derivative of y with respect to t. 1 y3D cot dy dt %3D

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Q: 6) This year, the student council president has decided to raise funds for the school prom by sellin...

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Q: (2x + xy)dy + 2ydx = 0 %3D

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the...

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Q: 4. Evaluate each of the following. (1) E6+3. 2 &x (Recall that k = k2+k. You should have H, in your ...

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Q: For what values of x does the graph of f(x) = ex3 – 8x² + 15 have a horizontal tangent? X = (Enter y...

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Q: 6. Solve the inequality f(r) = 3(x- 5)(x+ 2)2 > 0 first algebraically your answer using the graph in...

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Q: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

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Q: HOMEWORK 12: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 40,000 - 550p ...

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Q: 6. Which of the following is logically equivalent to [(p V q)^(p V¬q) ^(p Vr)]→[(p V q)^(¬p Vq) ^(q ...

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =...

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:  

Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

A: